The unified approach to spectral analysis. II
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- by R. Weder
- Proc. Amer. Math. Soc. 75 (1979), 81-84
- DOI: https://doi.org/10.1090/S0002-9939-1979-0529218-3
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Abstract:
We apply a new unified method to construct a closed, selfadjoint in ${\mathcal {L}^2}$, extension of a partial differential operator in all the spaces ${\mathcal {L}^p}({{\mathbf {R}}^n}),1 \leqslant p \leqslant \infty$, to a large class of partial differential operators. We obtain very weak conditions in the potentials.References
- R. Weder, The unified approach to spectral analysis, Comm. Math. Phys. 60 (1978), no. 3, 291–299. MR 500970
- Martin Schechter, Spectra of partial differential operators, 2nd ed., North-Holland Series in Applied Mathematics and Mechanics, vol. 14, North-Holland Publishing Co., Amsterdam, 1986. MR 869254
Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 81-84
- MSC: Primary 35P05; Secondary 47F05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0529218-3
- MathSciNet review: 529218